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The interaction of coplanar cracks in an infinite body caused by steady external loads

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Abstract

We study the interaction of coplanar cracks in an infinite body such that the surfaces of the cracks are loaded with tensile and shear strains that vary harmonically with time. We give the graphs of the dependence of coefficients of intensity of the stresses on the frequency of oscillations of the external load in a wide range of variation. Five figures. Bibliography: 2 titles.

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Literature cited

  1. V. V. Mikhas'kiv and M. V. Khai, “Reduction of dynamic three-dimensional problems of the theory of elasticity for bodies with arbitrarily located plane cracks to integral equation,”Prikl. Mat. Mekh,49, No. 6, 943–950 (1985).

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  2. M. V. Khai and I. V. Kalynyak, “On an approach to the numerical solution of the problems of the mathematical theory of cracks,”Mat. Met. if Fiz.-Mekh. Polya, No. 12, 63–69 (1980).

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Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 30, 1989, pp. 45–50.

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Mikhas'kiv, V.V., Khai, M.V. The interaction of coplanar cracks in an infinite body caused by steady external loads. J Math Sci 63, 345–349 (1993). https://doi.org/10.1007/BF01255740

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  • DOI: https://doi.org/10.1007/BF01255740

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